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Finding the Third Proportional to 173.71 and 262.46

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Solution

The third proportional to 173.71 and 262.46 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.71 : 262.46 = 262.46 : x
  2. Step 2: Convert to fraction form
    173.71/262.46 = 262.46/x
  3. Step 3: Cross multiply
    173.71x = 262.46 × 262.46
  4. Step 4: Simplify right side
    173.71x = 68,884.72
  5. Step 5: Solve for x
    x = 68,884.72/173.71
  6. Step 6: Final answer
    x = 396.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.